Extension of S.L. Sobolev's initial value method to nonlinear integral equations

DOI10.1016/0362-546X(78)90071-8zbMath0388.65059OpenAlexW2023329342MaRDI QIDQ4170187

Robert E. Kalaba, Harriet H. Kagiwada

Publication date: 1978

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(78)90071-8

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fredholm integral equations (45B05)

Related Items (8)

Linear methods for differential equations of Sobolev type ⋮ Boundary value problems for second order differential equations of Sobolev type ⋮ Existence and comparison results for differential equations of Sobolev type ⋮ Validation of an invariant embedding method for Fredholm integral equations ⋮ Sobolev type differential equations ⋮ Existence and uniqueness of Sobolev type integrodifferential equations ⋮ Existence, uniqueness and validation of parameter imbedding equations for nonlinear Fredholm integral equations ⋮ An initial value method for the nonlinear integral equation \(F(u(t),t,\lambda)= \lambda \int^{1}_{0} k(t,y,u(y))dy\)

Cites Work

• Imbedding methods for the integral equations for the optimal control of time-lag systems. I: Parameter dependence
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